Question

The heights of fully grown trees of a specific species are normally​ distributed, with a mean of 61.0 feet and a standard deviation of 6.00 feet. Random samples of size 19 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution. The mean of the sampling distribution is ?. The standard error of the sampling distribution is ?

Answer 1

X :heights of fully grown trees of a specific species

where, population mean () = 61

population sd () = 6

according to the central limit theorem,

a).The mean of the sampling distribution is = = 61

b).sample size (n) = 19

The standard error of the sampling distribution() is :-

=

c).necessary table:-

	(59.624,62.376)
	(58.248 , 63.752)
	(56.872 , 65.128)

a graph of the sampling distribution be:-

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